Trigonometry

**nsbrando** · 25 Jun 2012, 7:20 PM

having trouble finding exact values for these following questions

1. 1-cos45 over 1+cos45
2. 5cosec^2 60
3. 2-tan60 over sec^2 45

^2 -means squared

**Timske** · 25 Jun 2012, 7:25 PM

$cos^2(45) = \left (\frac{1}{\sqrt{2}} \right )^{2} = \frac{1}{2}$

**Fus Ro Dah** · 25 Jun 2012, 7:27 PM

1.

$\frac{1 - \frac{1}{\sqrt 2}}{1 + \frac{1}{\sqrt 2}} = \frac{\sqrt 2 - 1}{\sqrt 2 + 1} = \frac{(\sqrt 2 - 1)^2}{1} = 3 - 2 \sqrt 2$

2.

$\frac{5}{\sin ^2 60} = \frac{5}{\frac{3}{4}} = \frac{20}{3}$

3.

$\frac{2 - \sqrt 3}{\frac{1}{\cos ^2 45}} = \frac{2 - \sqrt 3}{2}}$

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